100111001121120 has 96 divisors (see below), whose sum is σ = 344017803870720. Its totient is φ = 24269333603840.

The previous prime is 100111001121107. The next prime is 100111001121121. The reversal of 100111001121120 is 21121100111001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100111001121096 and 100111001121105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111001121121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9480203160 + ... + 9480213719.

It is an arithmetic number, because the mean of its divisors is an integer number (3583518790320).

Almost surely, 2^{100111001121120} is an apocalyptic number.

100111001121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111001121120 is an abundant number, since it is smaller than the sum of its proper divisors (243906802749600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100111001121120 is a wasteful number, since it uses less digits than its factorization.

100111001121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18960416908 (or 18960416900 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100111001121120 its reverse (21121100111001), we get a palindrome (121232101232121).

The spelling of 100111001121120 in words is "one hundred trillion, one hundred eleven billion, one million, one hundred twenty-one thousand, one hundred twenty".